Root-finding algorithms

Householder's method

In mathematics, and more specifically in numerical analysis, Householder's methods are a class of root-finding algorithms that are used for functions of one real variable with continuous derivatives up to some order d + 1. Each of these methods is characterized by the number d, which is known as the order of the method. The algorithm is iterative and has a rate of convergence of d + 1. These methods are named after the American mathematician Alston Scott Householder. (Wikipedia).

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Householder's Method

Householder's Method for finding roots of equations including history, derivation, examples, and fractals. Example code is available on GitHub https://github.com/osveliz/numerical-veliz Chapters 0:00 Intro 0:25 Derivation 1:58 History 2:34 Householder's Method 4:07 Householder's Method Ex

From playlist Root Finding

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RUBY defining our own methods

More videos like this online at http://www.theurbanpenguin.com We now look at how we can use and define methods in ruby to help keep the code tidy and concise. This also helps with readability of the code and later maintenance. In the example we use we take the decimal to ip address conver

From playlist RUBY

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Primitive Roots Method 1

The second method for testing whether alpha is a primitive root mod p. Description of primitive roots is in the Primitive Roots pt. 1 video. Questions? Feel free to post them in the comments and I'll do my best to answer!

From playlist Number Theory

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Solve for all of the solutions of an equation when you have to factor

👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the given eq

From playlist Solve Trigonometric Equations by Factoring

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Solving a trigonometric equation with applying pythagorean identity

👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the given eq

From playlist Solve Trigonometric Equations by Factoring

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Solve a trig equation by factoring a perfect square trinomial

👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the given eq

From playlist Solve Trigonometric Equations by Factoring

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How to find all the solutions to a trigonometric equation

👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the given eq

From playlist Solve Trigonometric Equations by Taking the Square Root

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How to solve a trigonometric equation

👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the given eq

From playlist Solve Trigonometric Equations by Factoring

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Make Concentrated Ammonia

In this video we make ammonia gas and dissolve it water from various chemicals easily accessible to the amateur. The first method is merely boiling household ammonia solution that's domestically available from the local supermarket. The ammonia boiled out is lead into cold water where it

From playlist Home Science

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Learn how to write all of the solutions to a trigonometric equation

👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the given eq

From playlist Solve Trigonometric Equations by Factoring

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Statistics Lesson #1: Sampling

This video is for my College Algebra and Statistics students (and anyone else who may find it helpful). It includes defining and looking at examples of five sampling methods: simple random sampling, convenience sampling, systematic sampling, stratified sampling, cluster sampling. We also l

From playlist Statistics

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Statistical Rethinking 2023 - 15 - Social Networks

Course: https://github.com/rmcelreath/stat_rethinking_2023 Music: https://www.youtube.com/watch?v=0iVdR2rtD90 Pause: https://www.youtube.com/watch?v=a6QqkEsGxNY Outline 00:00 Introduction 02:25 Sample and causal model 12:18 Generative model 1 17:39 Statistical model 1 27:42 Pause 28:18 G

From playlist Statistical Rethinking 2023

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Lecture 1: Economic Science

MIT 14.04 Intermediate Microeconomic Theory, Fall 2020 Instructor: Prof. Robert Townsend View the complete course: https://ocw.mit.edu/courses/14-04-intermediate-microeconomic-theory-fall-2020/ YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63wnrKge9vllow3Y2OOOKqF Prof

From playlist MIT 14.04 Intermediate Microeconomic Theory, Fall 2020

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Sociology & the Scientific Method: Crash Course Sociology #3

What puts the “science” in social science? Today we’ll explore positivist sociology and how sociologists use empirical evidence to explore questions about the social world. We’ll also introduce two alternatives: interpretative sociology and critical sociology. Crash Course is made with Ad

From playlist Sociology

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Computational Linear Algebra 10: QR Algorithm to find Eigenvalues, Implementing QR Decomposition

Course materials available here: https://github.com/fastai/numerical-linear-algebra We discuss the QR algorithm to find eigenvalues, and a few ways to implement the QR factorization. - QR algorithm - Linear algebra projections - Gram-Schmidt - Householder - Stability Examples Course overv

From playlist Computational Linear Algebra

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Discussion - Abrupt transitions and systemic risk by Amit Bhaduri and Srinivas Raghavendra

Modern Finance and Macroeconomics: A Multidisciplinary Approach URL: http://www.icts.res.in/program/memf2015 DESCRIPTION: The financial meltdown of 2008 in the US stock markets and the subsequent protracted recession in the Western economies have accentuated the need to understand the dy

From playlist Modern Finance and Macroeconomics: A Multidisciplinary Approach

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Nueva School (Team #14656) Presentation

Nueva School from Hillsborough, California was the Technical Computing Winner in MathWorks Math Modeling Challenge 2021! On April 26, 2021, finalist teams presented their solution papers via Zoom to a panel of judges. Learn more about the 2021 Challenge problem topic and the winners: https

From playlist M3 Challenge

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Graeffe's Method

Graeffe's Root-Squaring Method (also called Graeffe-Dandelin-Lobachevskiĭ or Dandelin–Lobachesky–Graeffe method) for finding roots of polynomials. The method solves for all of the roots of a polynomial by only using the coefficients and does not require derivatives nor an interation funct

From playlist Root Finding

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How to apply factoring to solve a trigonometric equation

👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the given eq

From playlist Solve Trigonometric Equations by Factoring

Related pages

Automatic differentiation | Numerical analysis | Halley's method | Mathematics | PostScript | Taylor series | Newton's method | Alston Scott Householder